332138880 has 320 divisors, whose sum is σ = 1221858000. Its totient is φ = 85929984.

The previous prime is 332138879. The next prime is 332138881. The reversal of 332138880 is 88831233.

It is an interprime number because it is at equal distance from previous prime (332138879) and next prime (332138881).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×332138880² = 220632471215308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332138881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2229046 + ... + 2229194.

Almost surely, 2^332138880 is an apocalyptic number.

332138880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610929000).

332138880 is an abundant number, since it is smaller than the sum of its proper divisors (889719120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332138880 is a wasteful number, since it uses less digits than its factorization.

332138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 332138880 is about 18224.6777749292. The cubic root of 332138880 is about 692.5320954597.

The spelling of 332138880 in words is "three hundred thirty-two million, one hundred thirty-eight thousand, eight hundred eighty".